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Fixed point theorem for generalized Kannan type map**s
In the present paper, we introduce a new type of map**s in metric spaces, which are three point analogues of the well-known Kannan type map**s,...
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A Metric Fixed Point Theorem and Some of Its Applications
A general fixed point theorem for isometries in terms of metric functionals is proved under the assumption of the existence of a conical bicombing....
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Remarks and a Generalization of the Hegedüs–Szilágyi Fixed Point Theorem
AbstractA new generalization of the so-called Hegedüs–Szilágyi fixed point theorem is given by introducing a new contractive condition in the...
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A note on the Caristi fixed point theorem
We generalize the Caristi fixed point theorem and the contraction map** principle to the map**s of the complete semi-metric spaces.
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Fixed point theorem for map**s contracting perimeters of triangles
We consider a new type of map**s in metric spaces which can be characterized as map**s contracting perimeters of triangles. It is shown that such...
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A fixed point theorem for Proinov map**s with a contractive iterate
In this paper, we consider the fixed point theorem for Proinov map**s with a contractive iterate at a point. In other words, we combine and unify...
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The Banach Fixed Point Theorem: selected topics from its hundred-year history
On June 24, 1920 Stefan Banach presented his doctoral dissertation titled O operacjach na zbiorach abstrakcyjnych i ich zastosowaniach do równañ...
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Extended Cartan fixed point theorem
The well-known Cartan fixed point theorem states that if a group G acts isometrically on a complete CAT(0) space and if G has a bounded orbit, then G ...
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On Caristi’s fixed point theorem and completeness of probabilistic metric spaces
We show that probabilistic version of Caristi’s fixed point theorem due to Kianoush et al. (Kybernetika 57(1):46–59, 2021) characterize completeness...
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A generalization of the Goebel–Kirk fixed point theorem for asymptotically nonexpansive map**s
Some results extending the Goebel–Kirk fixed point theorem for asymptotically nonexpansive map**s are presented.
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A generalized Darbo’s fixed point theorem and its applications to different types of hybrid differential equations
In this article, a generalization of Darbo’s fixed point theorem using a new contraction operator is obtained to solve our proposed hybrid...
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Fixed point and periodic point theorems
We introduce a weaker form of continuity which is a necessary and sufficient condition for the existence of fixed points. The obtained theorems...
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On a New Proof of the Key Step in the Proof of Brouwer’s Fixed Point Theorem
We present a solution of Exercise 1.2.1 in [1] which yields a short new proof of a key step in one of proofs of Brouwer’s fixed point theorem (1910)....
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A common fixed point theorem for pairs of non-self map**s in a length space
Using the technique of altering distances, we establish a common fixed point theorem for two pairs of non-self map**s in the framework of length...
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Solution of system of delay differential equations via new darbo type fixed point theorem in partially ordered banach space
In this work, we proposed some generalized Darbo type fixed point theorem by employing the concept of generalized operators and measure of...
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The Brouwer fixed point theorem and periodic solutions of differential equations
The Brouwer fixed point theorem is a key ingredient in the proof that a periodic differential equation has a periodic solution in a set that...
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Fixed Point Theorem: variants, affine context and some consequences
In this work, we will present variants Fixed Point Theorem for the affine and classical contexts, as a consequence of general Brouwer’s Fixed Point...
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On Vector Quasi-Equilibrium Problems Via a Browder-Type Fixed-Point Theorem
This paper aims to provide new sufficient conditions for the existence of solutions to a vector quasi-equilibrium problem with set-valued map**s....
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Rothe’s Fixed Point Theorem and the Approximate Controllability of Semilinear Heat Equation with Impulses, Delays, and Nonlocal Conditions
Under certain conditions, impulses, delays, and nonlocal conditions are known to be negligible in comparison with the duration of the process. From...